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Finding the Fourth Proportional to 9,796.81, 13,519.60 and 5,605.06

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Solution

The fourth proportional to 9,796.81, 13,519.60 and 5,605.06 is: 7,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.81 : 13,519.60 = 5,605.06 : x
  2. Step 2: Convert to fraction form
    9,796.81/13,519.60 = 5,605.06/x
  3. Step 3: Cross multiply
    9,796.81x = 13,519.60 × 5,605.06
  4. Step 4: Simplify right side
    9,796.81x = 75,778,169.18
  5. Step 5: Solve for x
    x = 75,778,169.18/9,796.81
  6. Step 6: Final answer
    x = 7,734.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.